P and Q are isomers of dicarboxylic acid...

P and Q are isomers of dicarboxylic acid `C_(4)H_(4)O_(4)`. Both decolorize `Br_(2)//H_(2)O`. On heating, P forms the cyclic anydride.
Upon treatment with dilute alkaline `KMnO_(4)`, p as well as Q could produce one or more than one from the S,T and U

Compounds formed from P and Q are, respectively:

Optically active S and optically active pair (T,U)

optically inactive S and optically inactive pair (T,U)

Optically active pair (T,U) and optically active S

Optically inactive pair (T,U) and optically inactive S

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